Use our free GCF of Fractions Calculator tool to compute the GCF of 5763/938, 7169/7619 i.e 1/7146622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5763/938, 7169/7619.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5763/938,7169/7619
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5763/938,7169/7619, numerators are 5763,7169
Denominators are 938,7619
The GCF of 5763,7169 is 1 .
LCM of 938,7619 is 7146622.
The greatest common factor of 5763/938,7169/7619 = [GCF of 5763,7169]/[LCM of 938,7619]= 1/7146622
Therefore, the GCF of 5763/938,7169/7619 is 1/7146622.
To find the highest common factor of 5763,7169, we have to find the factors of both numbers and list the highest common factor.
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The factors of 7169 are 1, 67, 107, 7169
The HCF of 5763,7169 is 1.
Lets's calculate GCF of 5763,7169
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Now, list down the factors of 7169
:1,67,107,7169
Greatest Common Factor
We found the factors 5763,7169 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,7169 is 1.
Lets's calculate LCM of 938,7619
Given numbers has no common factors except 1. So, there LCM is their product i.e 7146622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7146622
Therefore, the GCF of Fractions 5763/938,7169/7619 is 1/7146622
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 938,7619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,7619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,7619) x common factors =1 x 1 = 1
LCM(938,7619) = ( 938 × 7619 ) / 1
LCM(938,7619) = 7146622 / 1
LCM(938,7619) = 7146622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5763,7169?
The HCF of 5763,7169 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5763/938, 7169/7619?
Answer: GCF of Numerators as per given numbers 5763/938, 7169/7619 is
GCF of Numerators i.e. for 5763,7169 is 1
LCM of denominators i.e. for 938,7619 is 7146622.
Thus, GCF of Fractions is 1/7146622.Finally, GCF of Fractions for 5763/938, 7169/7619 is 1/7146622.